论文标题

类型$ a_ {n-1} $ Crystal图和RSK通信中的穿孔tableaux

Perforated Tableaux in Type $A_{n-1}$ Crystal Graphs and the RSK Correspondence

论文作者

Appleby, Glenn D., Whitehead, Tamsen

论文摘要

We continue work begun in \cite{ptab} which introduced \emph{perforated tableaux} as a combinatorial model for crystals of type $A_{n-1}$, emphasizing connections to the classical Robinson-Schensted-Knuth (RSK) correspondence and Lusztig involutions, and, more generally, exploring the role of insertion schemes in the analysis of crystal graphs.我们工作的一个基本特征是\ emph {dual}晶体的作用(\ cite {gerberlecouvey,vanleeuwen}),我们从中获得了经典RSK理论的新结果。

We continue work begun in \cite{ptab} which introduced \emph{perforated tableaux} as a combinatorial model for crystals of type $A_{n-1}$, emphasizing connections to the classical Robinson-Schensted-Knuth (RSK) correspondence and Lusztig involutions, and, more generally, exploring the role of insertion schemes in the analysis of crystal graphs. An essential feature of our work is the role of \emph{dual} crystals (\cite{GerberLecouvey,vanLeeuwen}) from which we obtain new results within and beyond the classic RSK theory.

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